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200744040 = 23357353677
BaseRepresentation
bin10111111011100…
…01110001101000
3111222201212001110
423331301301220
5402342302130
631530350320
74655203410
oct1375616150
9458655043
10200744040
11a3350a72
125728b3a0
1332787b73
141c937640
1512954ab0
hexbf71c68

200744040 has 128 divisors (see below), whose sum is σ = 691234560. Its totient is φ = 45686784.

The previous prime is 200744029. The next prime is 200744057. The reversal of 200744040 is 40447002.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 200743998 and 200744016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296182 + ... + 296858.

It is an arithmetic number, because the mean of its divisors is an integer number (5400270).

Almost surely, 2200744040 is an apocalyptic number.

200744040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200744040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345617280).

200744040 is an abundant number, since it is smaller than the sum of its proper divisors (490490520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200744040 is a wasteful number, since it uses less digits than its factorization.

200744040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 200744040 is about 14168.4169899110. The cubic root of 200744040 is about 585.5278455920.

The spelling of 200744040 in words is "two hundred million, seven hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 353 420 677 706 840 1059 1354 1412 1765 2031 2118 2471 2708 2824 3385 3530 4062 4236 4739 4942 5295 5416 6770 7060 7413 8124 8472 9478 9884 10155 10590 12355 13540 14120 14217 14826 16248 18956 19768 20310 21180 23695 24710 27080 28434 29652 37065 37912 40620 42360 47390 49420 56868 59304 71085 74130 81240 94780 98840 113736 142170 148260 189560 238981 284340 296520 477962 568680 716943 955924 1194905 1433886 1672867 1911848 2389810 2867772 3345734 3584715 4779620 5018601 5735544 6691468 7169430 8364335 9559240 10037202 13382936 14338860 16728670 20074404 25093005 28677720 33457340 40148808 50186010 66914680 100372020 200744040